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@article{bonhomme-sauder-2011,
  title={Recovering distributions in difference-in-differences models: {A} comparison of selective and comprehensive schooling},
  author={Bonhomme, Stephane and Sauder, Ulrich},
  journal={Review of Economics and Statistics},
  volume={93},
  number={2},
  pages={479--494},
  year={2011},
  publisher={MIT Press}
}

@article{fan-yu-2012,
  title={Partial Identification of distributional and quantile treatment effects in difference-in-differences models},
  author={Fan, Yanqin and Yu, Zhengfei},
  journal={Economics Letters},
  volume={115},
  number={3},
  pages={511--515},
  year={2012},
  publisher={Elsevier}
}

@article{blundell-gosling-ichimura-meghir-2007,
  title={Changes in the distribution of male and female wages accounting for employment composition using bounds},
  author={Blundell, Richard and Gosling, Amanda and Ichimura, Hidehiko and Meghir, Costas},
  journal={Econometrica},
  volume={75},
  number={2},
  pages={323--363},
  year={2007},
  publisher={Wiley Online Library}
}

@article{athey-imbens-2006,
  title={Identification and inference in nonlinear difference-in-differences models},
  author={Athey, Susan and Imbens, Guido},
  journal={Econometrica},
  volume={74},
  number={2},
  pages={431--497},
  year={2006},
  publisher={Wiley Online Library}
}

@unpublished{thuysbaert-2007,
  title={Distributional comparisons in difference in differences models},
  author={Thuysbaert, Bram},
  year={2007},
  note={Working Paper, University of Leuven}
}

@article{abbring-heckman-2007,
  title={Econometric evaluation of social programs, part III: {Distributional} treatment effects, dynamic treatment effects, dynamic discrete choice, and general equilibrium policy evaluation},
  author={Abbring, Jaap and Heckman, James},
  journal={Handbook of Econometrics},
  volume={6},
  pages={5145--5303},
  year={2007},
  publisher={Elsevier}
}

@article{heckman-smith-clements-1997,
  title={Making the most out of programme evaluations and social experiments: {Accounting} for heterogeneity in programme impacts},
  author={Heckman, James and Smith, Jeffrey and Clements, Nancy},
  journal={The Review of Economic Studies},
  volume={64},
  number={4},
  pages={487--535},
  year={1997},
  publisher={Oxford University Press}
}

@article{manski-pepper-2000,
  title={Monotone instrumental variables: with an application to the returns to schooling},
  author={Manski, Charles and Pepper, John},
  journal={Econometrica},
  volume={68},
  number={4},
  pages={997--1010},
  year={2000},
  publisher={Wiley Online Library}
}

@article{manski-pepper-2009,
  title={More on monotone instrumental variables},
  author={Manski, Charles and Pepper, John},
  journal={The Econometrics Journal},
  volume={12},
  number={s1},
  pages={S200--S216},
  year={2009},
  publisher={Wiley Online Library}
}

@article{manski-pepper-2012,
  title={Partial identification of treatment response with data on repeated cross sections},
  author={Manski, Charles and Pepper, John},
  journal={Department of Economics, Northwestern University},
  year={2012}
}

@unpublished{lechner-melly-2010,
  title={Partial identification of wage effects of training programs},
  author={Lechner, Michael and Melly, Blaise},
  year={2010},
  note={Working Paper, Brown University, Department of Economics}
}

@unpublished{blanco-flores-lagunes-2011,
  title={Bounds on average and quantile treatment effects of job corps training on wages},
  author={Blanco, German and Flores, Carlos and Flores-Lagunes, Alfonso},
  year={2011},
  note={Working Paper}
}

@article{lee-2009,
  title={Training, wages, and sample selection: {Estimating} sharp bounds on treatment effects},
  author={Lee, David},
  journal={The Review of Economic Studies},
  volume={76},
  number={3},
  pages={1071--1102},
  year={2009},
  publisher={Oxford University Press}
}

@article{horowitz-2001,
  title={The bootstrap},
  author={Horowitz, Joel},
  journal={Handbook of Econometrics},
  volume={5},
  pages={3159--3228},
  year={2001},
  publisher={Elsevier}
}

@article{abadie-2005,
  title={Semiparametric difference-in-differences estimators},
  author={Abadie, Alberto},
  journal={The Review of Economic Studies},
  volume={72},
  number={1},
  pages={1--19},
  year={2005},
  publisher={Oxford University Press}
}

@article{firpo-2007,
  title={Efficient semiparametric estimation of quantile treatment effects},
  author={Firpo, Sergio},
  journal={Econometrica},
  volume={75},
  number={1},
  pages={259--276},
  year={2007},
  publisher={Wiley Online Library}
}


@article{browning-carro-2007,
  title={Heterogeneity and microeconometrics modeling},
  author={Browning, Martin and Carro, Jesus},
  journal={Econometric Society Monographs},
  volume={43},
  pages={47},
  year={2007},
  publisher={Cambridge University Press}
}

@book{sklar-1959,
  title={Fonctions de r{\'e}partition {\`a} n dimensions et leurs marges},
  author={Sklar, Abe},
  year={1959},
  publisher={Publications de L Institut de Statistique de L Universite de Paris}
}

@article{koenker-bassett-1978,
  title={Regression quantiles},
  author={Koenker, Roger and Bassett Jr, Gilbert},
  journal={Econometrica},
  pages={33--50},
  year={1978},
  publisher={JSTOR}
}

@book{koenker-2005,
  title={Quantile Regression},
  author={Koenker, Roger},
%  number={38},
  year={2005},
  publisher={Cambridge University Press}
}

@article{charpentier-fermanian-scaillet-2007,
  title={The Estimation of copulas: {Theory} and practice},
  author={Charpentier, Arthur and Fermanian, Jean-David and Scaillet, Olivier},
  journal={Copulas: From Theory to Application in Finance},
  pages={35--60},
  year={2007},
  publisher={Risk Publications}
}


@article{lalonde-1986,
  title={Evaluating the econometric evaluations of training programs with experimental data},
  author={LaLonde, Robert},
  journal={The American Economic Review},
  pages={604--620},
  year={1986},
  publisher={JSTOR}
}

@article{rosenbaum-rubin-1983,
  title={The central role of the propensity score in observational studies for causal effects},
  author={Rosenbaum, Paul and Rubin, Donald},
  journal={Biometrika},
  volume={70},
  number={1},
  pages={41--55},
  year={1983},
  publisher={Biometrika Trust}
}

@article{imbens-angrist-1994,
  title={Identification and estimation of local average treatment effects},
  author={Imbens, Guido and Angrist, Joshua},
  journal={Econometrica},
  pages={467--475},
  year={1994},
  publisher={JSTOR}
}

@article{heckman-lalonde-smith-1999,
  title={The economics and econometrics of active labor market programs},
  author={Heckman, James and LaLonde, Robert and Smith, Jeffrey},
  journal={Handbook of labor economics},
  volume={3},
  pages={1865--2097},
  year={1999},
  publisher={Elsevier}
}

@article{heckman-ichimura-todd-1997,
  title={Matching as an econometric evaluation estimator: {Evidence} from evaluating a job training programme},
  author={Heckman, James and Ichimura, Hidehiko and Todd, Petra},
  journal={The Review of Economic Studies},
  volume={64},
  number={4},
  pages={605--654},
  year={1997},
  publisher={Oxford University Press}
}

@article{dehejia-wahba-1999,
  title={Causal effects in nonexperimental studies: {Reevaluating} the evaluation of training programs},
  author={Dehejia, Rajeev and Wahba, Sadek},
  journal={Journal of the American Statistical Association},
  volume={94},
  number={448},
  pages={1053--1062},
  year={1999},
  publisher={Taylor \& Francis Group}
}

@article{dehejia-wahba-2002,
  title={Propensity score-matching methods for nonexperimental causal studies},
  author={Dehejia, Rajeev and Wahba, Sadek},
  journal={Review of Economics and statistics},
  volume={84},
  number={1},
  pages={151--161},
  year={2002},
  publisher={MIT Press}
}

@article{smith-todd-2005,
  title={Does matching overcome LaLonde's critique of nonexperimental estimators?},
  author={Smith, Jeffrey and Todd, Petra},
  journal={Journal of Econometrics},
  volume={125},
  number={1},
  pages={305--353},
  year={2005},
  publisher={Elsevier}
}


@article{heckman-ichimura-smith-todd-1998,
  title={Characterizing selection bias using experimental data},
  author={Heckman, James and Ichimura, Hidehiko and Smith, Jeffrey and Todd, Petra},
  journal={Econometrica},
  volume={66},
  number={5},
  pages={1017--1098},
  year={1998}
}

@article{heckman-vytlacil-2005,
  title={Structural equations, treatment effects, and econometric policy evaluation1},
  author={Heckman, James and Vytlacil, Edward},
  journal={Econometrica},
  volume={73},
  number={3},
  pages={669--738},
  year={2005},
  publisher={Wiley Online Library}
}

@article{cunha-heckman-navarro-2006,
  title={Counterfactual analysis of inequality and social mobility},
  author={Cunha, Flavio and Heckman, James and Navarro, Salvador},
  journal={Mobility and Inequality: Frontiers of Research in Sociology and Economics},
  pages={290--348},
  year={2006},
  publisher={Stanford University Press}
}


@article{fox-gandhi-2011,
  title={Using selection decisions to identify the joint distribution of outcomes},
  author={Fox, Jeremy and Gandhi, Amit},
  year={2011},
  institution={Working Paper}
}

@article{chernozhukov-hansen-2005,
  title={An {IV} model of quantile treatment effects},
  author={Chernozhukov, Victor and Hansen, Christian},
  journal={Econometrica},
  volume={73},
  number={1},
  pages={245--261},
  year={2005},
  publisher={Wiley Online Library}
}

@article{fan-park-2009,
  title={Partial identification of the distribution of treatment effects and its confidence sets},
  author={Fan, Yanqin and Park, Sang Soo},
  journal={Advances in Econometrics},
  volume={25},
  pages={3--70},
  year={2009},
  publisher={Emerald Group Publishing Limited}
}

@article{hirano-imbens-ridder-2003,
  title={Efficient estimation of average treatment effects using the estimated propensity score},
  author={Hirano, Keisuke and Imbens, Guido and Ridder, Geert},
  journal={Econometrica},
  volume={71},
  number={4},
  pages={1161--1189},
  year={2003},
  publisher={Wiley Online Library}
}

@book{nelsen-2007,
 title={An Introduction to Copulas},
 author={Nelsen, Roger},
 year={2007},
 publisher={Springer},
 edition={2}
}

@article{rubin-1974,
  title={Estimating causal effects of treatments in randomized and nonrandomized studies.},
  author={Rubin, Donald},
  journal={Journal of Educational Psychology},
  volume={66},
  number={5},
  pages={688},
  year={1974},
  publisher={American Psychological Association}
}

@book{hollister-kemper-maynard-1984,
  title={The National Supported Work Demonstration},
  author={Hollister, Robinson and Kemper, Peter and Maynard, Rebecca},
  year={1984},
  publisher={Univ of Wisconsin Pr}
}

@article{imbens-wooldridge-2009,
  title={Recent developments in the econometrics of program evaluation},
  author={Imbens, Guido and Wooldridge, Jeffrey},
  journal={Journal of Economic Literature},
  volume={47},
  number={1},
  pages={5--86},
  year={2009}
}

@book{van-der-vaart-2000,
  title={Asymptotic Statistics},
  author={{v}an der Vaart, Aad},
  volume={3},
  year={2000},
  publisher={Cambridge University Press}
}

@article{klein-spady-1993,
  title={An efficient semiparametric estimator for binary response models},
  author={Klein, Roger and Spady, Richard},
  journal={Econometrica},
  pages={387--421},
  year={1993},
  publisher={JSTOR}
}

@article{newey-mcfadden-1994,
  title={Large sample estimation and hypothesis testing},
  author={Newey, Whitney and McFadden, Daniel},
  journal={Handbook of Econometrics},
  volume={4},
  pages={2111--2245},
  year={1994},
  publisher={Elsevier}
}

@article{newey-1994,
  title={The asymptotic variance of semiparametric estimators},
  author={Newey, Whitney},
  journal={Econometrica},
  pages={1349--1382},
  year={1994},
  publisher={JSTOR}
}

@article{newey-2009,
  title={Two-step series estimation of sample selection models},
  author={Newey, Whitney},
  journal={The Econometrics Journal},
  volume={12},
  number={s1},
  pages={S217--S229},
  year={2009},
  publisher={Wiley Online Library}
}

@article{meyer-viscusi-durbin-1995,
  title={Workers' compensation and injury duration: {Evidence} from a natural experiment},
  author={Meyer, Bruce and Viscusi, Kip and Durbin, David},
  journal={The American Economic Review},
  pages={322--340},
  year={1995},
  publisher={JSTOR}
}

@book{lee-1990,
  title={U-statistics. Theory and Practice},
  author={Lee, Alan},
  year={1990},
  publisher={Marcel Dekker, Inc., New York}
}

@book{horowitz-1998,
  title={Semiparametric Methods in Econometrics},
  author={Horowitz, Joel},
  year={1998},
  publisher={Springer}
}

@article{buchinsky-1994,
  title={Changes in the {US} wage structure 1963-1987: {Application} of quantile regression},
  author={Buchinsky, Moshe},
  journal={Econometrica},
  pages={405--458},
  year={1994},
  publisher={JSTOR}
}

@article{ichimura-1993,
  title={Semiparametric least squares (SLS) and weighted SLS estimation of single-index models},
  author={Ichimura, Hidehiko},
  journal={Journal of Econometrics},
  volume={58},
  number={1},
  pages={71--120},
  year={1993},
  publisher={Elsevier}
}

@article{ashenfelter-1978,
  title={Estimating the effect of training programs on earnings},
  author={Ashenfelter, Orley},
  journal={The Review of Economics and Statistics},
  pages={47--57},
  year={1978},
  publisher={JSTOR}
}

@article{heckman-smith-1999,
  title={The pre-programme earnings dip and the determinants of participation in a social programme. implications for simple programme evaluation strategies},
  author={Heckman, James and Smith, Jeffrey},
  journal={The Economic Journal},
  volume={109},
  number={457},
  pages={313--348},
  year={1999},
  publisher={Wiley Online Library}
}

@article{heckman-hotz-1989,
  title={Choosing among alternative nonexperimental methods for estimating the impact of social programs: {The} case of manpower training},
  author={Heckman, James and Hotz, V Joseph},
  journal={Journal of the American statistical Association},
  volume={84},
  number={408},
  pages={862--874},
  year={1989},
  publisher={Taylor \& Francis Group}
}

@article{frolich-melly-2013,
  title={Unconditional quantile treatment effects under endogeneity},
  author={Frolich, Markus and Melly, Blaise},
  journal={Journal of Business \& Economic Statistics},
  volume={31},
  number={3},
  pages={346--357},
  year={2013},
  publisher={Taylor \& Francis}
}

@article{powell-2010,
  title={Unconditional quantile regression for panel data with exogenous or endogenous regressors},
  author={Powell, David},
  journal={Available at SSRN 1722954},
  year={2010}
}

@article{melly-2006,
  title={Estimation of counterfactual distributions using quantile regression},
  author={Melly, Blaise},
  journal={Review of Labor Economics},
  volume={68},
  number={4},
  pages={543--572},
  year={2006}
}

@incollection{heckman-robb-1985,
  title={Alternative methods for evaluating the impact of interventions},
  author={Heckman, James and Robb, Richard},
  editor={Heckman, James and Singer, Burton},
  booktitle={Longitudinal Analysis of Labor Market Data},
  publisher={Cambridge University Press},
  address={Cambridge},
  pages={156-246},
  year={1985}
}

@article{carneiro-hansen-heckman-2001,
  title={Removing the veil of ignorance in assessing the distributional impacts of social policies},
  author={Carneiro, Pedro and Hansen, Karsten and Heckman, James},
  journal={Swedish Economic Policy Review},
  volume={8},
  pages={273-301},
  year={2001}
}

@book{sen-1997,
  title={On Economic Inequality},
  author={Sen, Amartya},
  year={1997},
  publisher={Clarendon Press}
}

@article{carneiro-hansen-heckman-2003,
  title={Estimating distributions of treatment effects with an application to the returns to schooling and measurement of the effects of uncertainty on college choice},
  author={Carneiro, Pedro and Hansen, Karsten and Heckman, James},
  journal={International Economic Review},
  volume={44},
  number={2},
  pages={361--422},
  year={2003}
}

@article{heckman-vytlacil-1999,
  title={Local instrumental variables and latent variable models for identifying and bounding treatment effects},
  author={Heckman, James and Vytlacil, Edward},
  journal={Proceedings of the National Academy of Sciences},
  volume={96},
  number={8},
  pages={4730--4734},
  year={1999},
  publisher={National Acad Sciences}
}

@article{heckman-1979,
  title={Sample selection bias as a specification error},
  author={Heckman, James},
  journal={Econometrica},
  pages={153--161},
  year={1979},
  publisher={JSTOR}
}


@article{poirier-1980,
  title={Partial observability in bivariate probit models},
  author={Poirier, Dale},
  journal={Journal of Econometrics},
  volume={12},
  number={2},
  pages={209--217},
  year={1980},
  publisher={Elsevier}
}

@article{farber-1983,
  title={The determination of the union status of workers},
  author={Farber, Henry},
  journal={Econometrica},
  pages={1417--1437},
  year={1983},
  publisher={JSTOR}
}

@article{abadie-angrist-imbens-2002,
  title={Instrumental variables estimates of the effect of subsidized training on the quantiles of trainee earnings},
  author={Abadie, Alberto and Angrist, Joshua and Imbens, Guido},
  journal={Econometrica},
  volume={70},
  number={1},
  pages={91--117},
  year={2002},
  publisher={Wiley Online Library}
}

@article{botosaru-gutierrez-2014,
  title={Difference-in-differences when treatment status is observed in only one period},
  author={Botosaru, Irene and Gutierrez, Federico},
  journal={Available at SSRN 2377483},
  year={2014}
}

@article{newey-1990,
  title={Semiparametric efficiency bounds},
  author={Newey, Whitney K},
  journal={Journal of Applied Econometrics},
  volume={5},
  number={2},
  pages={99--135},
  year={1990},
  publisher={Wiley Online Library}
}

@article{severini-tripathi-2001,
  title={A simplified approach to computing efficiency bounds in semiparametric models},
  author={Severini, Thomas A and Tripathi, Gautam},
  journal={Journal of Econometrics},
  volume={102},
  number={1},
  pages={23--66},
  year={2001},
  publisher={Elsevier}
}

@book{severini-tripathi-2013,
  title={Semiparametric Efficiency Bounds for Microeconometric Models: {A} Survey},
  author={Severini, Thomas A and Tripathi, Gautam},
  year={2013},
  publisher={Now}
}

@book{bickel-klaassen-ritov-wellner-1998,
  title={Efficient and Adaptive Estimation for Semiparametric Models},
  author={Bickel, Peter and Klaassen, Chris and Ritov, Ya'acov and Wellner, Jon},
  year={1998},
  publisher={Springer-Verlag}
}

@article{hahn-1998,
  title={On the role of the propensity score in efficient semiparametric estimation of average treatment effects},
  author={Hahn, Jinyong},
  journal={Econometrica},
  volume={66},
  number={2},
  pages={315--332},
  year={1998},
  publisher={Econometric Society}
}

@unpublished{callaway-li-2017,
  title={Quantile treatment effects in difference in differences models with panel data},
  author={Callaway, Brantly and Li, Tong},
  year={2017},
  note={Working Paper}
}


@unpublished{callaway-2018,
  title={Tight bounds on distributional treatment effect parameters using panel data with an application on job displacement},
  author={Callaway, Brantly},
  year={2018},
  note={Working Paper}
}

@inproceedings{heckman-smith-1998,
  title={Evaluating the welfare state},
  author={Heckman, James and Smith, Jeffrey},
  booktitle={Econometrics and Economic Theory in the 20th Century: The Ragnar Frisch Centennial Symposium},
  number={31},
  pages={241--318},
  year={1998},
  organization={Cambridge University Press}
}

@article{heckman-smith-1995,
  title={Assessing the case for social experiments},
  author={Heckman, James J and Smith, Jeffrey A},
  journal={The Journal of Economic Perspectives},
  volume={9},
  number={2},
  pages={85--110},
  year={1995},
  publisher={JSTOR}
}


@book{joe-1997,
  title={Multivariate Models and Multivariate Dependence Concepts},
  author={Joe, Harry},
  year={1997},
  publisher={CRC Press}
}

@book{joe-2015,
  title={Dependence Modeling with Copulas},%. No. 134 in monographs on statistics and applied probability},
  author={Joe, Harry},
  year={2015},
  publisher={CRC Press, Boca Raton, FL}
}

@article{omelka-veraverbeke-gijbels-2013,
  title={Bootstrapping the conditional copula},
  author={Omelka, Marek and Veraverbeke, Noel and Gijbels, Irene},
  journal={Journal of Statistical Planning and Inference},
  volume={143},
  number={1},
  pages={1--23},
  year={2013},
  publisher={Elsevier}
}

@article{abegaz-gijbels-veraverbeke-2012,
  title={Semiparametric estimation of conditional copulas},
  author={Abegaz, Fentaw and Gijbels, Irene and Veraverbeke, Noel},
  journal={Journal of Multivariate Analysis},
  volume={110},
  pages={43--73},
  year={2012},
  publisher={Elsevier}
}

@article{veraverbeke-omelka-gijbels-2011,
  title={Estimation of a conditional copula and association measures},
  author={Veraverbeke, Noel and Omelka, Marek and Gijbels, Irene},
  journal={Scandinavian Journal of Statistics},
  volume={38},
  number={4},
  pages={766--780},
  year={2011},
  publisher={Wiley Online Library}
}

@article{gijbels-veraverbeke-omelka-2011,
  title={Conditional copulas, association measures and their applications},
  author={Gijbels, Irene and Veraverbeke, Noel and Omelka, Marel},
  journal={Computational Statistics \& Data Analysis},
  volume={55},
  number={5},
  pages={1919--1932},
  year={2011},
  publisher={Elsevier}
}

@article{stoye-2009,
  title={More on confidence intervals for partially identified parameters},
  author={Stoye, Jorg},
  journal={Econometrica},
  volume={77},
  number={4},
  pages={1299--1315},
  year={2009},
  publisher={Wiley Online Library}
}

@article{imbens-manski-2004,
  title={Confidence intervals for partially identified parameters},
  author={Imbens, Guido and Manski, Charles},
  journal={Econometrica},
  pages={1845--1857},
  year={2004},
  publisher={JSTOR}
}

@article{fan-wu-2010,
  title={Partial identification of the distribution of treatment effects in switching regime models and its confidence sets},
  author={Fan, Yanqin and Wu, Jisong},
  journal={The Review of Economic Studies},
  volume={77},
  number={3},
  pages={1002--1041},
  year={2010},
  publisher={Oxford University Press}
}

@article{fan-park-2010,
  title={Sharp bounds on the distribution of treatment effects and their statistical inference},
  author={Fan, Yanqin and Park, Sang Soo},
  journal={Econometric Theory},
  volume={26},
  number={03},
  pages={931--951},
  year={2010},
  publisher={Cambridge Univ Press}
}

@article{fan-park-2012,
  title={Confidence intervals for the quantile of treatment effects in randomized experiments},
  author={Fan, Yanqin and Park, Sang Soo},
  journal={Journal of Econometrics},
  volume={167},
  number={2},
  pages={330--344},
  year={2012},
  publisher={Elsevier}
}

@unpublished{firpo-ridder-2008,
  title={Bounds on functionals of the distribution of treatment effects},
  author={Firpo, Sergio and Ridder, Geert},
  year={2008},
  note={Working Paper}
}

@article{williamson-downs-1990,
  title={Probabilistic arithmetic. I. Numerical methods for calculating convolutions and dependency bounds},
  author={Williamson, Robert and Downs, Tom},
  journal={International Journal of Approximate Reasoning},
  volume={4},
  pages={89--158},
  year={1990}
}

@article{frank-nelsen-schweizer-1987,
  title={Best{-}possible bounds for the distribution of a sum{-}a problem of Kolmogorov},
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